What is the Least Common Multiple of 49248 and 49260?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 49248 and 49260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49248 and 49260, than apply into the LCM equation.

GCF(49248,49260) = 12
LCM(49248,49260) = ( 49248 × 49260) / 12
LCM(49248,49260) = 2425956480 / 12
LCM(49248,49260) = 202163040

Least Common Multiple (LCM) of 49248 and 49260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49248 and 49260. First we will calculate the prime factors of 49248 and 49260.

Prime Factorization of 49248

Prime Factorization of 49260

Now multiplying the highest exponent prime factors to calculate the LCM of 49248 and 49260.

LCM(49248,49260) = 2⁵ × 3⁴ × 19¹ × 5¹ × 821¹
LCM(49248,49260) = 202163040